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Finding the Fourth Proportional to 6,833.48, 10,249.20 and 1,902.62

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Solution

The fourth proportional to 6,833.48, 10,249.20 and 1,902.62 is: 2,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.48 : 10,249.20 = 1,902.62 : x
  2. Step 2: Convert to fraction form
    6,833.48/10,249.20 = 1,902.62/x
  3. Step 3: Cross multiply
    6,833.48x = 10,249.20 × 1,902.62
  4. Step 4: Simplify right side
    6,833.48x = 19,500,332.90
  5. Step 5: Solve for x
    x = 19,500,332.90/6,833.48
  6. Step 6: Final answer
    x = 2,853.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.